A twistor description of six-dimensional $ mathcal{N} = left( {1,1} ight) $ super Yang-Mills theory

摘要

A bstract We present a twistor space that describes super null-lines on six-dimensional $ mathcal{N} = left( {1,1} ight) $ superspace. We then show that there is a one-to-one correspondence between holomorphic vector bundles over this twistor space and solutions to the field equations of $ mathcal{N} = left( {1,1} ight) $ super Yang-Mills theory. Our constructions naturally reduce to those of the twistorial description of maximally supersymmetric Yang-Mills theory in four dimensions.